### Abstract

Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.

Translated title of the contribution | Action of Hecke operators on Siegel theta series II |
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Original language | English |

Pages (from-to) | 981-1008 |

Number of pages | 28 |

Journal | International Journal of Number Theory |

Volume | 4 |

Issue number | 6 |

Publication status | Accepted/In press - 2007 |

### Bibliographical note

Publisher: World Scientific## Fingerprint Dive into the research topics of 'Action of Hecke operators on Siegel theta series II'. Together they form a unique fingerprint.

## Cite this

Walling, LH. (Accepted/In press). Action of Hecke operators on Siegel theta series II.

*International Journal of Number Theory*,*4*(6), 981-1008. http://arxiv.org/abs/0710.4222